please use matlab please

Problem 3 (3 points) The growth in population of a certain colony of individuals is modeled by the equation: P(k+1) = (1+r)*P(K), where P(k) is the population at time k, P(0) is the population at k = 0, and ris the annual growth rate. Write a user-defined function that uses this model to predict the population at any time t, from knowing PCO) and P(k) at some other time k. For function name and arguments use: Pt = calculate Pop(PO, Pk, k, t) where the output argument P(C) corresponds to Pt, and the input arguments PO, Pk, k, t corresponds to PCO).P(k), k, t, respectively. Use the function for the following: The initial population of a certain species is 50 million and it doubles in 20 years. Calculate the population 10, 15, and 25 years from the initial time